QBA EXAM SCRIPT 2025/2026 QUESTIONS AND SOLUTION
RATED A+
✔✔10. The counting rule that is used for counting the number of experimental outcomes
when n objects are selected from a set of N objects where order of selection is
important is called
a. permutation
b. combination
c. multiple step experiment
d. None of these alternatives is correct. - ✔✔A
✔✔11. From a group of six people, two individuals are to be selected at random. How
many possible selections are possible?
a. 12
b. 36
c. 15
d. 8 - ✔✔C
✔✔12. When the results of experimentation or historical data are used to assign
probability values, the method used to assign probabilities is referred to as the
a. relative frequency method
b. subjective method
c. classical method
d. posterior method - ✔✔A
✔✔13. A method of assigning probabilities based upon judgment is referred to as the
a. relative method
b. probability method
c. classical method
d. subjective method - ✔✔D
✔✔14. A sample point refers to the
a. numerical measure of the likelihood of the occurrence of an event
b. set of all possible experimental outcomes
c. individual outcome of an experiment
d. sample space - ✔✔C
✔✔15. A graphical device used for enumerating sample points in a multiple-step
experiment is a
a. bar chart
b. pie chart
c. histogram
d. None of these alternatives is correct. - ✔✔D
, ✔✔16. The intersection of two mutually exclusive events
a. can be any value between 0 to 1
b. must always be equal to 1
c. must always be equal to 0
d. can be any positive value - ✔✔C
✔✔17. Two events are mutually exclusive
a. if their intersection is 1
b. if they have no sample points in common
c. if their intersection is 0.5
d. None of these alternatives is correct. - ✔✔B
✔✔18. The range of probability is
a. any value larger than zero
b. any value between minus infinity to plus infinity
c. zero to one
d. any value between -1 to 1 - ✔✔C
✔✔19. Which of the following statements is always true?
a. -1 P(Ei) 1
b. P(A) = 1 - P(Ac)
c. P(A) + P(B) = 1
d. P 1 - ✔✔B
✔✔20. Events that have no sample points in common are
a. independent events
b. posterior events
c. mutually exclusive events
d. complements - ✔✔C
✔✔21. Initial estimates of the probabilities of events are known as
a. sets
b. posterior probabilities
c. conditional probabilities
d. prior probabilities - ✔✔D
✔✔22. Two events with nonzero probabilities
a. can be both mutually exclusive and independent
b. can not be both mutually exclusive and independent
c. are always mutually exclusive
d. are always independent - ✔✔B
✔✔23. Two events, A and B, are mutually exclusive and each have a nonzero
probability. If event A is known to occur, the probability of the occurrence of event B is
RATED A+
✔✔10. The counting rule that is used for counting the number of experimental outcomes
when n objects are selected from a set of N objects where order of selection is
important is called
a. permutation
b. combination
c. multiple step experiment
d. None of these alternatives is correct. - ✔✔A
✔✔11. From a group of six people, two individuals are to be selected at random. How
many possible selections are possible?
a. 12
b. 36
c. 15
d. 8 - ✔✔C
✔✔12. When the results of experimentation or historical data are used to assign
probability values, the method used to assign probabilities is referred to as the
a. relative frequency method
b. subjective method
c. classical method
d. posterior method - ✔✔A
✔✔13. A method of assigning probabilities based upon judgment is referred to as the
a. relative method
b. probability method
c. classical method
d. subjective method - ✔✔D
✔✔14. A sample point refers to the
a. numerical measure of the likelihood of the occurrence of an event
b. set of all possible experimental outcomes
c. individual outcome of an experiment
d. sample space - ✔✔C
✔✔15. A graphical device used for enumerating sample points in a multiple-step
experiment is a
a. bar chart
b. pie chart
c. histogram
d. None of these alternatives is correct. - ✔✔D
, ✔✔16. The intersection of two mutually exclusive events
a. can be any value between 0 to 1
b. must always be equal to 1
c. must always be equal to 0
d. can be any positive value - ✔✔C
✔✔17. Two events are mutually exclusive
a. if their intersection is 1
b. if they have no sample points in common
c. if their intersection is 0.5
d. None of these alternatives is correct. - ✔✔B
✔✔18. The range of probability is
a. any value larger than zero
b. any value between minus infinity to plus infinity
c. zero to one
d. any value between -1 to 1 - ✔✔C
✔✔19. Which of the following statements is always true?
a. -1 P(Ei) 1
b. P(A) = 1 - P(Ac)
c. P(A) + P(B) = 1
d. P 1 - ✔✔B
✔✔20. Events that have no sample points in common are
a. independent events
b. posterior events
c. mutually exclusive events
d. complements - ✔✔C
✔✔21. Initial estimates of the probabilities of events are known as
a. sets
b. posterior probabilities
c. conditional probabilities
d. prior probabilities - ✔✔D
✔✔22. Two events with nonzero probabilities
a. can be both mutually exclusive and independent
b. can not be both mutually exclusive and independent
c. are always mutually exclusive
d. are always independent - ✔✔B
✔✔23. Two events, A and B, are mutually exclusive and each have a nonzero
probability. If event A is known to occur, the probability of the occurrence of event B is
